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Finding the Fourth Proportional to 419,954.09, 579,432.71 and 256,568.54

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Solution

The fourth proportional to 419,954.09, 579,432.71 and 256,568.54 is: 354,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.09 : 579,432.71 = 256,568.54 : x
  2. Step 2: Convert to fraction form
    419,954.09/579,432.71 = 256,568.54/x
  3. Step 3: Cross multiply
    419,954.09x = 579,432.71 × 256,568.54
  4. Step 4: Simplify right side
    419,954.09x = 148,664,202,177.20
  5. Step 5: Solve for x
    x = 148,664,202,177.20/419,954.09
  6. Step 6: Final answer
    x = 354,001.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.